Question

Calculate the surface area of a sphere with diameter 25 inches.8177.1 in2314.2 in21963.5 in27854 in2

Answer 1

`\begin{equation*} 1963.5\text{ }in^2 \end{equation*}`

Step-by-step explanation

The surface area of a sphere is given by:

`SA=4\pi r^2`

where r = radius of the sphere

The radius of a sphere is half its diameter. Hence, the radius of the sphere of given diameter is:

`\begin{gathered} r=(d)/(2) \\ r=(25)/(2) \\ r=12.5\text{ }in \end{gathered}`

Hence, the surface area of the sphere is:

`\begin{gathered} SA=4*\pi *12.5^2 \\ SA=1963.5\text{ }in^2 \end{gathered}`

That is the answer.